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Finding the Third Proportional to 8.34 and 18.28

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Solution

The third proportional to 8.34 and 18.28 is: 40.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.34 : 18.28 = 18.28 : x
  2. Step 2: Convert to fraction form
    8.34/18.28 = 18.28/x
  3. Step 3: Cross multiply
    8.34x = 18.28 × 18.28
  4. Step 4: Simplify right side
    8.34x = 334.20
  5. Step 5: Solve for x
    x = 334.20/8.34
  6. Step 6: Final answer
    x = 40.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.